{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 4. 如何计算投资组合风险？"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 目录\n",
    "1. 什么是Markowitz方差组合模型？\n",
    "2. Portfolioopt的输入格式是什么？\n",
    "3. 如何计算组合风险？\n",
    "4. 如何将Markowitz可视化？"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 什么是Markowitz方差组合模型？\n",
    "马克维茨投资组合理论的基本假设为：\n",
    "\n",
    "(1)投资者是风险规避的，追求期望效用最大化；\n",
    "\n",
    "(2)投资者根据收益率的期望值与方差来选择投资组合；\n",
    "\n",
    "(3)所有投资者处于同一单期投资期。马克维茨提出了以期望收益及其方差(E，δ2)确定有效投资组合。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Portfolioopt的输入格式是什么？\n",
    "安装Portfolioopt: pip install Portfolioopt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "              000001    600036    600050\n",
      "date                                    \n",
      "2014-01-03 -0.024644 -0.020589 -0.018710\n",
      "2014-01-06 -0.021657 -0.004747 -0.028271\n",
      "2014-01-07 -0.003536  0.005792  0.003045\n",
      "2014-01-08  0.011262  0.010387 -0.012816\n",
      "2014-01-09  0.005034  0.006593 -0.009908\n",
      "2014-01-10  0.000000  0.009436 -0.006556\n",
      "2014-01-13 -0.018519  0.007368  0.003473\n",
      "2014-01-14  0.010207 -0.012009  0.009692\n",
      "2014-01-15 -0.004133 -0.014807 -0.003085\n",
      "2014-01-16  0.001691 -0.003813 -0.006534\n",
      "2014-01-17 -0.017956  0.001914 -0.006923\n",
      "2014-01-20 -0.015784 -0.009439 -0.003137\n",
      "2014-01-21  0.005399  0.005672  0.010140\n",
      "2014-01-22  0.037745  0.016131  0.013153\n",
      "2014-01-23 -0.007609 -0.016763 -0.009908\n",
      "2014-01-24 -0.003374 -0.008581  0.003451\n",
      "2014-01-27 -0.023234 -0.009566 -0.013411\n",
      "2014-01-28  0.009767  0.010578  0.013594\n",
      "2014-01-29  0.005148  0.006713  0.003095\n",
      "2014-01-30 -0.013813 -0.014241 -0.013027\n",
      "2014-02-07 -0.001731 -0.002866  0.010073\n",
      "2014-02-10  0.016711  0.009659  0.009972\n",
      "2014-02-11  0.037060  0.013438  0.006469\n",
      "2014-02-12 -0.004934 -0.005731  0.003045\n",
      "2014-02-13  0.023441  0.001921 -0.006408\n",
      "2014-02-14 -0.011452 -0.000902  0.003394\n",
      "2014-02-17 -0.009060 -0.001016  0.022666\n",
      "2014-02-18 -0.025929 -0.018083 -0.022163\n",
      "2014-02-19  0.029081  0.018416  0.012855\n",
      "2014-02-20 -0.019886 -0.015145  0.006346\n",
      "...              ...       ...       ...\n",
      "2016-11-21  0.006536  0.013253  0.000000\n",
      "2016-11-22  0.012987  0.001635  0.008432\n",
      "2016-11-23  0.009615  0.025554 -0.030100\n",
      "2016-11-24  0.002116 -0.005269  0.003448\n",
      "2016-11-25  0.015839  0.013297  0.018900\n",
      "2016-11-28  0.001040 -0.017915  0.020236\n",
      "2016-11-29 -0.001038  0.005378  0.016529\n",
      "2016-11-30 -0.007277 -0.010644  0.082927\n",
      "2016-12-01  0.005236 -0.003233  0.100601\n",
      "2016-12-02 -0.005208  0.000000 -0.066849\n",
      "2016-12-05 -0.009424  0.009171 -0.008772\n",
      "2016-12-06  0.003171 -0.003214 -0.020649\n",
      "2016-12-07 -0.001054  0.001056 -0.012048\n",
      "2016-12-08  0.004219  0.007553  0.068598\n",
      "2016-12-09  0.013655  0.023425  0.000000\n",
      "2016-12-12 -0.015544  0.002639 -0.028531\n",
      "2016-12-13 -0.008421 -0.019230  0.061674\n",
      "2016-12-14 -0.002123 -0.003177 -0.052559\n",
      "2016-12-15 -0.015957 -0.030822 -0.016058\n",
      "2016-12-16  0.000000 -0.003288  0.007418\n",
      "2016-12-19 -0.005405 -0.009328  0.010309\n",
      "2016-12-20 -0.009783 -0.012229  0.034985\n",
      "2016-12-21  0.005488  0.001104  0.038028\n",
      "2016-12-22 -0.002183 -0.005051  0.042062\n",
      "2016-12-23 -0.006565 -0.006769  0.016927\n",
      "2016-12-26  0.004405  0.008519  0.000000\n",
      "2016-12-27 -0.004386 -0.002272 -0.033291\n",
      "2016-12-28 -0.002203 -0.005080  0.018543\n",
      "2016-12-29  0.002208 -0.007336 -0.019506\n",
      "2016-12-30  0.002203  0.006267 -0.030504\n",
      "\n",
      "[732 rows x 3 columns]\n"
     ]
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import tushare as ts\n",
    "import numpy as np\n",
    "import portfolioopt as opt\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "codes = ['000001', '600036', '600050']\n",
    "stocks_dict = {}\n",
    "for c in codes:\n",
    "    stock = ts.get_k_data(c, start='2014-01-01', end='2016-12-31', ktype='D', autype='qfq')\n",
    "    stock.index = pd.to_datetime(stock['date'], format='%Y-%m-%d')\n",
    "    stock.pop('date')\n",
    "    stocks_dict[c] = stock\n",
    "\n",
    "pn = pd.Panel(stocks_dict)\n",
    "data_r = pn.minor_xs('close').pct_change()[1:]\n",
    "# print data_r\n",
    "# if data_r.isnull().values.any():\n",
    "#     data_r = data_r.fillna(method='ffill',inplace=True)\n",
    "print data_r"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "000001    0.157781\n",
      "600036    0.267599\n",
      "600050    0.405151\n",
      "dtype: float64\n",
      "          000001    600036    600050\n",
      "000001  0.116502  0.082639  0.090923\n",
      "600036  0.082639  0.096628  0.067499\n",
      "600050  0.090923  0.067499  0.220429\n"
     ]
    }
   ],
   "source": [
    "#主要的两个输入模式\n",
    "exp_rets = data_r.mean()*252\n",
    "cov_mat = data_r.cov()*252\n",
    "print exp_rets\n",
    "print cov_mat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "000001    0.199260\n",
      "600036    0.681691\n",
      "600050    0.119049\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "#计算目标收益的权重\n",
    "portfolio_1 = opt.markowitz_portfolio(cov_mat, exp_rets, 0.2, allow_short=False, market_neutral=False)\n",
    "print portfolio_1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "000001    0.199260\n",
      "600036    0.681691\n",
      "600050    0.119049\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "#计算最小方差的权重\n",
    "portfolio_mv = opt.min_var_portfolio(cov_mat, allow_short=False)\n",
    "print portfolio_mv"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "000001    3.992272e-07\n",
      "600036    6.000752e-01\n",
      "600050    3.999244e-01\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "#计算最优组合的权重\n",
    "portfolio_tp = opt.tangency_portfolio(cov_mat, exp_rets, allow_short=False)\n",
    "print portfolio_tp"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "000001    0.000000\n",
      "600036    0.600075\n",
      "600050    0.399925\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "#去除少于0.01权重的股票\n",
    "weigth_t = opt.truncate_weights(portfolio_tp, min_weight=0.01, rescale=True)\n",
    "print weigth_t"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 如何计算组合风险？\n",
    "$Portfolio Variance = x'\\sum x$\n",
    "\n",
    "x = weights\n",
    "\n",
    "$\\sum = Cov$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.32007439625\n"
     ]
    }
   ],
   "source": [
    "Portfolio_v = np.dot(weigth_t.T, np.dot(cov_mat,weigth_t))\n",
    "P_sigma = np.sqrt(Portfolio_v)\n",
    "print P_sigma"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 如何将Markowitz可视化？"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "('sharpe:', 0.88294951703163038)\n"
     ]
    },
    {
     "data": {
      "image/png": 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2qWRBzTGc2noR1cHywdqR9SezaOtfKZytZ7AQpOx+IElve6npg2sW8nzf4/gj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+CIz4Pj32Cfv5OinEfNTLC9dB27y7fygpVfZ07BhgatHXgpa/rPZirYwo+3vp7GnVWE4hJiYpGC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\np9YuloiIiLS2Fponx92TZnYp8BKZIaTvd/cZZnZJsP2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      "text/plain": [
       "<matplotlib.figure.Figure at 0xe5b1860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "port_returns = []\n",
    "port_variance = []\n",
    "for p in range(4000):\n",
    "    weights = np.random.rand(len(data_r.T))\n",
    "    weights /= np.sum(weights)\n",
    "    port_returns.append(np.sum(data_r.mean()*252*weights))\n",
    "    port_variance.append(np.sqrt(np.dot(weights.T, np.dot(cov_mat,weights))))\n",
    "port_returns = np.array(port_returns)\n",
    "port_variance = np.array(port_variance)\n",
    "\n",
    "risk_free = 0.04\n",
    "P_r = np.sum(exp_rets*weigth_t)\n",
    "sharpe = (P_r-risk_free)/P_sigma\n",
    "print('sharpe:', sharpe)\n",
    "\n",
    "plt.figure(figsize = (15,7))\n",
    "plt.scatter(port_variance, port_returns, c=(port_returns-risk_free)/port_variance, marker='o')\n",
    "plt.grid(True)\n",
    "plt.xlabel('excepted volatility')\n",
    "plt.ylabel('expected return')\n",
    "plt.colorbar(label='Sharpe ratio')\n",
    "plt.scatter(P_sigma, P_r, c='r', marker='*')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 作业\n",
    "选择三只或以上的股票，用Portfolioopt 将最优组合算出来，并将其可视化。"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
